Suppose that you want to reorder, arbitrarily, the bits in a 64-bit word. This question was raised on Twitter by @experquisite. Formally, you might want to provide, for each of the 64 bit position, an original bit position you want to copy.

Hence, the following code would reverse the bit order in your 64-bit word:

uint64_t w = some value;
uint8_t indexes[64] = {63, 62, 61, 60, 59, 58, 57, 56, 55, 54, 53, 52, 51,
                       50, 49, 48, 47, 46, 45, 44, 43, 42, 41, 40, 39, 38,
                       37, 36, 35, 34, 33, 32, 31, 30, 29, 28, 27, 26, 25,
                       24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 14, 13, 12,
                       11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1, 0};
bit_shuffle(w, indexes); // returns a reversed version 

A naive way to do it in C might be as follows:

uint64_t slow_bit_shuffle(uint64_t w, uint8_t indexes[64]) {
  uint64_t out{};
  for (size_t i = 0; i < 6